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1331222220113 is a prime number
BaseRepresentation
bin10011010111110011000…
…001110000110101010001
311201021010011110120101212
4103113303001300311101
5133302320342020423
62455315520105505
7165114633112232
oct23276301606521
94637104416355
101331222220113
11473628269295
12195bbb765295
13986c27637b6
1448608069089
1524964ec8578
hex135f3070d51

1331222220113 has 2 divisors, whose sum is σ = 1331222220114. Its totient is φ = 1331222220112.

The previous prime is 1331222220071. The next prime is 1331222220127. The reversal of 1331222220113 is 3110222221331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1161109692304 + 170112527809 = 1077548^2 + 412447^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331222220113 - 230 = 1330148478289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331222120113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665611110056 + 665611110057.

It is an arithmetic number, because the mean of its divisors is an integer number (665611110057).

Almost surely, 21331222220113 is an apocalyptic number.

It is an amenable number.

1331222220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331222220113 is an equidigital number, since it uses as much as digits as its factorization.

1331222220113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1331222220113 its reverse (3110222221331), we get a palindrome (4441444441444).

The spelling of 1331222220113 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred thirteen".